Computer Analysis of Machines With Planar Motion: Part 1—Kinematics

[+] Author and Article Information
B. Paul

University of Pennsylvania, Philadelphia, Pa.

D. Krajcinovic

Reactor Engineering Division, Argonne National Laboratory, Argonne, Ill.

J. Appl. Mech 37(3), 697-702 (Sep 01, 1970) (6 pages) doi:10.1115/1.3408599 History: Received July 28, 1969; Online July 12, 2010


It is shown how the independent loops inherent in kinematic chains with multidegrees of freedom are utilized to set up and solve the governing kinematic equations for displacement, velocity, and acceleration. The need to solve systems of nonlinear algebraic (displacement) equations is bypassed by formulating the problem as a system of nonlinear differential equations. In a numerical example, it is shown in detail how the method is applied and a Stirling cycle engine is kinematically analyzed for less than one dollar of computer time. The significance of possible singular configurations in a mechanism is discussed and stratagems are given for handling special cases.

Copyright © 1970 by ASME
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